What is the Greatest Common Factor of 36106 and 36120?

Greatest common factor (GCF) of 36106 and 36120 is 14.

GCF(36106,36120) = 14

We will now calculate the prime factors of 36106 and 36120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36106 and 36120.

How to find the GCF of 36106 and 36120?

We will first find the prime factorization of 36106 and 36120. After we will calculate the factors of 36106 and 36120 and find the biggest common factor number .

Step-1: Prime Factorization of 36106

Prime factors of 36106 are 2, 7, 2579. Prime factorization of 36106 in exponential form is:

36106 = 2¹ × 7¹ × 2579¹

Step-2: Prime Factorization of 36120

Prime factors of 36120 are 2, 3, 5, 7, 43. Prime factorization of 36120 in exponential form is:

36120 = 2³ × 3¹ × 5¹ × 7¹ × 43¹

Step-3: Factors of 36106

List of positive integer factors of 36106 that divides 36106 without a remainder.

1, 2, 7, 14, 2579, 5158, 18053

Step-4: Factors of 36120

List of positive integer factors of 36120 that divides 36106 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 43, 56, 60, 70, 84, 86, 105, 120, 129, 140, 168, 172, 210, 215, 258, 280, 301, 344, 420, 430, 516, 602, 645, 840, 860, 903, 1032, 1204, 1290, 1505, 1720, 1806, 2408, 2580, 3010, 3612, 4515, 5160, 6020, 7224, 9030, 12040, 18060

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36106 and 36120. The biggest common factor number is the GCF number.
So the greatest common factor 36106 and 36120 is 14.

Also check out the Least Common Multiple of 36106 and 36120